95838816 has 48 divisors (see below), whose sum is σ = 252129024. Its totient is φ = 31876224.

The previous prime is 95838811. The next prime is 95838829. The reversal of 95838816 is 61883859.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95838811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61341 + ... + 62883.

It is an arithmetic number, because the mean of its divisors is an integer number (5252688).

Almost surely, 2^95838816 is an apocalyptic number.

95838816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

95838816 is an abundant number, since it is smaller than the sum of its proper divisors (156290208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95838816 is a wasteful number, since it uses less digits than its factorization.

95838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2195 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 95838816 is about 9789.7301290689. The cubic root of 95838816 is about 457.6292901036.

The spelling of 95838816 in words is "ninety-five million, eight hundred thirty-eight thousand, eight hundred sixteen".